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Finding the Third Proportional to 48,217,210 and 72,774,219

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Solution

The third proportional to 48,217,210 and 72,774,219 is: 109,838,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,217,210 : 72,774,219 = 72,774,219 : x
  2. Step 2: Convert to fraction form
    48,217,210/72,774,219 = 72,774,219/x
  3. Step 3: Cross multiply
    48,217,210x = 72,774,219 × 72,774,219
  4. Step 4: Simplify right side
    48,217,210x = 5,296,086,951,059,961
  5. Step 5: Solve for x
    x = 5,296,086,951,059,961/48,217,210
  6. Step 6: Final answer
    x = 109,838,104.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.